Use our free GCF of Fractions Calculator tool to compute the GCF of 919/118, 268/271 i.e 1/31978 easily. The following is the detailed procedure to determine the greatest common factor of fractions 919/118, 268/271.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 919/118,268/271
To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by
GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators
In the fractions 919/118,268/271, numerators are 919,268
Denominators are 118,271
The GCF of 919,268 is 1 .
LCM of 118,271 is 31978.
The greatest common factor of 919/118,268/271 = [GCF of 919,268]/[LCM of 118,271]= 1/31978
Therefore, the GCF of 919/118,268/271 is 1/31978.
To find the highest common factor of 919,268, we have to find the factors of both numbers and list the highest common factor.
The factors of 919 are 1, 919
The factors of 268 are 1, 2, 4, 67, 134, 268
The HCF of 919,268 is 1.
Lets's calculate GCF of 919,268
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 919
:1,919
Now, list down the factors of 268
:1,2,4,67,134,268
Greatest Common Factor
We found the factors 919,268 . The biggest common factor number is the GCF number.
So the greatest common factor 919,268 is 1.
Lets's calculate LCM of 118,271
Given numbers has no common factors except 1. So, there LCM is their product i.e 31978
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/31978
Therefore, the GCF of Fractions 919/118,268/271 is 1/31978
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 118,271 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(118,271) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(118,271) x common factors =1 x 1 = 1
LCM(118,271) = ( 118 × 271 ) / 1
LCM(118,271) = 31978 / 1
LCM(118,271) = 31978
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 919,268?
The HCF of 919,268 is 1
2. What is the GCF of a fraction?
The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.
3. How to find GCF in Fractions?
Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.
4. What is the GCF of Fractions for 919/118, 268/271?
Answer: GCF of Numerators as per given numbers 919/118, 268/271 is
GCF of Numerators i.e. for 919,268 is 1
LCM of denominators i.e. for 118,271 is 31978.
Thus, GCF of Fractions is 1/31978.Finally, GCF of Fractions for 919/118, 268/271 is 1/31978.